Average Error: 62.0 → 62.0
Time: 5.4s
Precision: 64
\[lo \lt -1 \cdot 10^{+308} \land hi \gt 10^{+308}\]
\[\frac{x - lo}{hi - lo}\]
↓
\[\frac{x - lo}{hi - lo}\]
\frac{x - lo}{hi - lo}
↓
\frac{x - lo}{hi - lo}
double f(double lo, double hi, double x) {
        double r168315 = x;
        double r168316 = lo;
        double r168317 = r168315 - r168316;
        double r168318 = hi;
        double r168319 = r168318 - r168316;
        double r168320 = r168317 / r168319;
        return r168320;
}
↓
double f(double lo, double hi, double x) {
        double r168321 = x;
        double r168322 = lo;
        double r168323 = r168321 - r168322;
        double r168324 = hi;
        double r168325 = r168324 - r168322;
        double r168326 = r168323 / r168325;
        return r168326;
}

Error

Bits error versus lo

Bits error versus hi

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 62.0

    \[\frac{x - lo}{hi - lo}\]

  2. Final simplification62.0

    \[\leadsto \frac{x - lo}{hi - lo}\]

Reproduce

herbie shell --seed 2019125 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))